1. Simplify the following monomials
(a) (x)^7 / (x)^3 (b) (3 x^2) / 6(x) © (x)^-9 / ( x)^2
(d) ( x )^4 / ( x )^-2 (e) (3 x^3)( 2x^2) (f) (-5x^2)^3
(g) (2 x^-4 )( x^4) (h) (-5x^3)(3x^-2) (I) (3x)(7x^-3)

The volume occupied by a 350 pound sphere is 2.33 ft³.

Equation is an expression used to show the relationship between one or more numbers and variables.

Let y represent the weight of the sphere in pounds and x represent the volume in feet³, hence:

y = 150x

For a 350 pounds sphere:

350 = 150x

x = 2.33 ft³

The volume occupied by a 350 pound sphere is 2.33 ft³.

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Answer:

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

Volumen= longitud*ancho*altura

Y reemplazando los valores se obtiene:

1000 m³= 25 m* 20 m* altura

Resolviendo:

1000 m³= 500 m²* altura

[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]

altura= 2 m

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

my answer is in the image above

Answer:

8 pi/3

Step-by-step explanation:

The arc length is equal to the radius times the angle ( given in radians)

s = r theta

s = 4 *(2 pi /3)

s = 8 pi/3

The student forgot to sort the values first.

The sorted data set is {162, 169, 174, 177, 178, 187, 192, 194, 196}

Cross off the first four items, and cross off the last four items. You'll find that 178 is the only thing left, so it's right in the middle. This is the median.

Another way to find the median is to notice that there are n = 9 items in the list, so n/2 = 9/2 = 4.5 which rounds to 5 represents the slot number where the median is located. The value 178 is in slot 5. This trick only works if n is odd.

The range is the difference between the min and max, so,

range = max - min = 196-162 = 34

The student got the range part correct.

---------------------

Summary:

Median = 178

Range = 34

Answer: labor force participation rate  =60%

unemployment rate = 6.67%

Step-by-step explanation:

The labor force participation rate is computed as

[tex]\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}[/tex]

i.e. [tex]\text{labor force participation rate}= \dfrac{72000}{120000}[/tex]

[tex]= 0.6\ or\ 60 \%[/tex]

The unemployment rate is computed as:

[tex]\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%[/tex]

Hence, labor force participation rate  =60%

unemployment rate = 6.67%

Answer:

2 groups of 30

Step-by-step explanation:

If you add together the two classes, you get 60 students. because you want to find the largest possible equal groups, with no students left over, you can divide all the students (60) by two, and you get 30 students in two groups.

Answer:

8 and 17

Step-by-step explanation:

Let the number x and y

Sum of numbers, x + y = 25 -----------( 1 )

One number exceeds other by 9,

 that is difference between the numbers is 9, x - y = 9

                                                                       => x = 9 + y   --------- ( 2 )

Substitute ( 2 ) in ( 1 )

( 9 + y ) + y = 25

2y = 25 - 9

2y = 16

y = 8

Substitute y = 8 in ( 2 ) : x = 9 + y

                                        = 9 + 8 = 17

Therefore the 2 numbers are 8 and 17

Answer:

The answer would be that one number is 8 and the second is 17.

The sum of these two numbers is 25, ad 17 and 8 have a difference of 9

Step-by-step explanation:

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

[tex]\bar x = 7.10[/tex] -- sample mean

[tex]\sigma=5[/tex] --- sample standard deviation

[tex]n = 150[/tex] --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

[tex]CI = 90\%[/tex] --- the confidence interval

Calculate the [tex]\alpha[/tex] level

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1 - 90\%[/tex]

[tex]\alpha = 1 - 0.90[/tex]

[tex]\alpha = 0.10[/tex]

Divide by 2

[tex]\frac{\alpha}{2} = 0.10/2[/tex]

[tex]\frac{\alpha}{2} = 0.05[/tex]

Subtract from 1

[tex]1 - \frac{\alpha}{2} = 1 - 0.05[/tex]

[tex]1 - \frac{\alpha}{2} = 0.95[/tex]

From the z table. the critical value for [tex]1 - \frac{\alpha}{2} = 0.95[/tex] is:

[tex]z = 1.960[/tex]

Solving (c): Margin of error

This is calculated as:

[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]

[tex]E = 1.960 * \frac{5}{\sqrt {150}}[/tex]

[tex]E = 1.960 * \frac{5}{12.25}[/tex]

[tex]E = \frac{1.960 *5}{12.25}[/tex]

[tex]E = \frac{9.80}{12.25}[/tex]

[tex]E = 0.800[/tex]

Solving (d): The confidence interval

This is calculated as:

[tex]CI = (\bar x - E, \bar x + E)[/tex]

[tex]CI = (7.10 - 0.800, 7.10 + 0.800)[/tex]

[tex]CI = (6.3, 7.9)[/tex]

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Answer:

B. x=4

Step-by-step explanation:

It should be the short front length times the total length of the tangent.

6(16)=8(8+x)

96=64+8x

32=8x

4=x

The value of the variable x is 7.5. Option D

A line that touches the circle at a single point is known as a tangent to a circle.

The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects.

From the information given, we have that;

10(6) = 8(x)

expand the bracket, we get;

60 = 8x

Now, divide both sides by the coefficient of x, we get;

x = 60/8

Divide the values

x = 7.5

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#SPJ6

answer is 200 lol pretty easy

Answer:

He sold 200 loaves

Step-by-step explanation:

if he sells twice as many the next week the equation would be

100 times 2 = x

therefore, the answer is 200

Answer:

56

Step-by-step explanation:

I don't quite understand your question but I assumed you meant what is 70% of 80

9514 1404 393

Answer:

  B, C, D, E

Step-by-step explanation:

A square has all side equal, opposite sides parallel, and all angles equal (90°). Because all sides are equal, so are adjacent sides. All but the first and last descriptions apply to a square.

The first description is that of a trapezoid, which has exactly one pair or parallel sides. The last description is that of an isosceles (right) triangle, which has sides that are referred to as "legs."

Answer:

x = 3, y = - 2

Step-by-step explanation:

Simplify the 2 given equations

3(x + 1) - 5(y + 2) = 12 ← distribute left side

3x + 3 - 5y - 10 = 12

3x - 5y - 7 = 12 ( add 7 to both sides )

3x - 5y = 19 → (1)

----------------------------------

5(- 3 + 2x) - 3(4 - y) = - 3 ← distribute left side

- 15 + 10x - 12 + 3y = - 3

10x + 3y - 27 = - 3 ( add 27 to both sides )

10x + 3y = 24 → (2)

-------------------------------------------

Solve the 2 equations simultaneously

3x - 5y = 19 → (1)

10x + 3y = 24 → (2)

Multiplying (1) by 3 and (2) by 5 and adding the result will eliminate y

9x - 15y = 57 → (3)

50x + 15y = 120 → (4)

Add (3) and (4) term by term to eliminate y

59x = 177 ( divide both sides by 59 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) - 5y = 19

9 - 5y = 19 ( subtract 9 from both sides )

- 5y = 10 ( divide both sides by - 5 )

y = - 2

Solution is x = 3, y = - 2

Answer:

If they can make it from 3 materials and 2 fasteners, you can turn it into some kind of chart

cotton-button; cotton-snaps

satin-button; satin-snaps

silk-button; silk snaps.

Using that, which uses the 2 kinds of fasteners and each material, you can conclude that it is----

6 combinations :)

Step-by-step explanation:

hope this helps, if im wrong critique me.

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

Answer:

80 degree

Step-by-step explanation:

missing angle + 100 degree = 180 degree (being co interior angles )

missing angle = 180 - 100

missing angle 80 degree

[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

Error made by Jaclyn ⤵

[tex] \sqrt{50} [/tex]

[tex]\sf\red{=\:2√25}[/tex] ❌

Correct way to solve it ⤵

[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

rational  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.

Answer:

true

Step-by-step explanation:

This is true because the basic graph of a fifth degree polynomial with a positive coefficient goes right and up forever(encapsulating y-values until infinity) and left and down forever(encapsulating y-values until negative infinity). This means the range is all real numbers.

Below is a graph to comprehend it more visually:

Answer:

the last option is the correct answer

Answer:

a 1+- square root of 10

Step-by-step explanation:

subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.

Answer:

C

Step-by-step explanation:

There is a difference of 16 between consecutive terms, that is

259 - 243 = 275 - 259 = 291 - 275 = 16

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 243 and d = 16 , then

[tex]a_{n}[/tex] = 243 + 16(n - 1) = 243 + 16n - 16 = 227 + 16n → C

Answer:

d = 1.59   c = 5

Step-by-step explanation:

The formula to calculate the area of a circle is

A =  π  r ^2

This means that if  r =  5 cm, the area is  

A =  5^2  π  cm ^2  =  25 π  cm^ 2 ≈

 78.539816 cm^ 2

Answer:

Jimmy; 26

Step-by-step explanation:

PEMDAS

Parentheses Exponents Multiplication Division Addition Subtraction

6 + 4 * 10 / 2 = 6 + 40 / 2

6 + 40 / 2 = 6 + 20

6 + 20 = 26

26

Answer:

The granite countertop will cost $ 608.

Step-by-step explanation:

Given that a counter in Spencer's kitchen is 4 feet wide and 8 feet long, and Spencer wants to replace the counter with a granite countertop, which would cost $ 19.00 per square foot, to determine how much would the granite countertop cost the following calculation must be performed:

(4 x 8) x 19 = X

32 x 19 = X

608 = X

Therefore, the granite countertop will cost $ 608.

Answer:

2x - 3

Step-by-step explanation:

The Distributive Property of Multiplication applies here.  Multiply each of the two terms inside parentheses by-1/4:  2x - 3

Answer:

1. -6y^4 +4y^2 -12

2. x - 19

Step-by-step explanation:

1.

(6y^4+3y^2-7) - (12y^4-y^2+5)

= -6y^4+ 4y^2- 12

2. 3(x-5) - (3x+4)

= (3x-15) - (3x+4)

= x-19

Answer:

D.

[tex]4.33 \times {10}^{6} [/tex]

Answer:

B

Step-by-step explanation:

Not much to say but that i the definition.  You sing the midpoint of each side, make a perpendicular line and see where the three perpendicular bisectors intersect.  

A is the incenter, C sounds like the Orthocenter and D sounds like the centroid.

Aside from being able to tell from the parts of the words, you just kinda have to memorize these.